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ad-work [718]
2 years ago
12

7x + 5=-2 find the value of 8x

Mathematics
1 answer:
Ymorist [56]2 years ago
5 0
7x+5=-2\\7x=-2-5\\7x=-7\\x=-1\\\\8x=8*(-1)=-8

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Find a+b,2a+3b,IaI, and Ia-bI. a[5, -12], b=[-3, -6]
DENIUS [597]

Answer: 1) 2\hat{i}-18\hat{j} 2) \hat{i}-6\hat{j} 3) 13, 4) 10.

Step-by-step explanation:

Since we have given that

\vec{a}=5\hat{i}-12\hat{j}\\\\and\\\\\vec{b}=-3\hat{i}-6\hat{j}

So, we need to find :

1) a + b is given by

5\hat{i}-12\hat{j}-3\hat{i}-6\hat{j}\\\\=2\hat{i}-18\hat{j}

2) 2a+3b is given by

2(5\hat{i}-12\hat{j})+3(-3\hat{i}-6\hat{j})\\\\=10\hat{i}-24\hat{j}-9\hat{i}+18\hat{j}\\\\=\hat{i}-6\hat{j}

3) |a| is given by

\sqrt{5^2+(-12)^2}\\\\=\sqrt{25+144}\\\\=\sqrt{169}\\\\=13

4) |a-b| is given by

\sqrt{(5+3)^2+(-12+6)^2}\\\\=\sqrt{8^2+6^2}\\\\=\sqrt{64+36}\\\\=\sqrt{100}\\\\=10

Hence, 1) 2\hat{i}-18\hat{j} 2) \hat{i}-6\hat{j} 3) 13, 4) 10.

6 0
2 years ago
Suppose T: ℝ3→ℝ2 is a linear transformation. Let U and V be the vectors given below, and suppose that T(U) and T(V) are as given
ira [324]

Answer:

T(3u+2v)=(-10,29)

Step-by-step explanation:

T is a linear transformation, hence it is homogeneous (T(cr)=cT(r) for all real c and r∈ℝ³) and additive (T(r+s)=T(r)+T(s), for all r,s∈ℝ³). Apply these properties with r=3u and s=2v to obtain:

T(3u+2v)=T(3u)+T(2v)=3T(u)+2T(v)=3(-2,5)+2(-2,7)=(-6,15)+(-4,14)=(-10,29)

We don't have an explicit definition of T, so it's more difficult to compute T(3u+2v) directly without using these properties.

8 0
3 years ago
8× what =2
sergejj [24]

Answer:

8*1/4= 2

A) 0.071

B) 0.48

5 0
3 years ago
PLS HELPPP MEEE ILL GIVE BRAINLIEST
Arlecino [84]

Answer:

y = 2

Step-by-step explanation:

not sure but should be it

4 0
3 years ago
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What is the value of the exponent when simplifying the following expression: 16^1/2•16^1/2
pantera1 [17]

Answer:

B.

Step-by-step explanation:

because they have the same base and it's a multiplication so you have to add the exponents

6 0
2 years ago
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